Search a number
-
+
444143202000 = 243531923233727
BaseRepresentation
bin1100111011010001111…
…11110110111011010000
31120110102002210101011020
412131220333312323100
524234101124431000
6540011522115440
744042165632641
oct6355077667320
91513362711136
10444143202000
111613a6293423
12720b27abb80
1332b61ba0c04
14176d4b1d6c8
15b846ee0ba0
hex6768ff6ed0

444143202000 has 640 divisors, whose sum is σ = 1581738762240. Its totient is φ = 106718515200.

The previous prime is 444143201987. The next prime is 444143202007. The reversal of 444143202000 is 202341444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444143202007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 610925637 + ... + 610926363.

It is an arithmetic number, because the mean of its divisors is an integer number (2471466816).

Almost surely, 2444143202000 is an apocalyptic number.

444143202000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444143202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790869381120).

444143202000 is an abundant number, since it is smaller than the sum of its proper divisors (1137595560240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444143202000 is a wasteful number, since it uses less digits than its factorization.

444143202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444143202000 its reverse (202341444), we get a palindrome (444345543444).

The spelling of 444143202000 in words is "four hundred forty-four billion, one hundred forty-three million, two hundred two thousand".